Search Results

• Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

  Xingwen Zhu, Mingyan He, Pengtao Sun

  2022-08-22

  297415 2852 pp. 603-629

• Image Zooming Algorithm Based on Partial Differential Equations Technique

  R. Gao, J.-P. Song, X.-C. Tai

  2009-06-01

  31052 2635 pp. 284-292

• ANOVA Expansions and Efficient Sampling Methods for Parameter Dependent Nonlinear PDEs

  Yanzhao Cao, Zheng Chen, Max Gunzburger

  2009-06-01

  30807 2602 pp. 256-273

• High Order Method for Variable Coefficient Integro-Differential Equations and Inequalities Arising in Option Pricing

  Pradeep Kumar Sahu, Kuldip Singh Patel

  2023-05-22

  DOI:10.4208/ijnam2023-1023

  28452 2451 pp. 538-556

• Optimal Block Preconditioner for an Efficient Numerical Solution of the Elliptic Optimal Control Problems Using GMRES Solver

  K. Muzhinji

  2022-11-28

  DOI:10.4208/ijnam2023-1003

  292148 3120 pp. 47-66

• Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations

  John Burkardt, Max D. Gunzburger, Clayton Webster

  2021-11-09

  30680 2492 pp. 368-391

• Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

  Ralf Hartmann, Paul Houston

  2006-03-01

  30954 4201 pp. 1-20

• Reduced Approach for Stochastic Optimal Control Problems

  Liuhong Chen, Meixin Xiong, Ju Ming

  2022-09-27

  42043 2972 pp. 237-254

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics

  Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong

  2025-05-26

  DOI:10.4208/ijnam2025-1030

  8032 528 pp. 694-727

• Error Estimates Under Minimal Regularity for Single Step Finite Element Approximations of Parabolic Partial Differential Equations

  L. S. Hou, W. Zhu

  2006-03-01

  29475 2667 pp. 504-524

• Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator

  Zhangxin Chen, Youqian Zhang

  2008-05-01

  31681 3853 pp. 86-100

• ADI Finite Difference Schemes for Option Pricing in the Heston Model with Correlation

  K. J. In't Hout, S. Foulon

  2010-07-01

  35277 2890 pp. 303-320

• An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

  Tongchao Lu, Jinhong Jia

  2012-09-01

  32901 3859 pp. 56-72

• A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

  Max Gunzburger, Nan Jiang, Michael Schneier

  2018-08-15

  33047 2530 pp. 608-627

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence

  Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong

  2025-05-26

  DOI:10.4208/ijnam2025-1031

  7917 536 pp. 728-744

• Convergence and Complexity of Adaptive Finite Element Methods for Elliptic Partial Differential Equations

  Lianhua He, Aihui Zhou

  2011-08-01

  32073 2664 pp. 615-640

• Fixed-Point Fast Sweeping WENO Methods for Steady State Solution of Scalar Hyperbolic Conservation Law

  S. Chen

  2021-10-20

  34286 3916 pp. 117-130

• A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

  Qun Lin, Kaixin Wang, Hong Wang, Xiabo Yin

  2012-09-01

  33516 3855 pp. 73-85

• Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

  Chunmei Wang

  2025-10-21

  DOI:10.4208/ijnam2026-1004

  5701 403 pp. 83-102

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

  2024-10-08

  DOI:10.4208/ijnam2024-1026

  13073 1094 pp. 652-673

• A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains

  Chenhong Shi, Yinnian He, Dongwoo Sheen, Xinlong Feng

  2024-05-20

  DOI:10.4208/ijnam2024-1016

  20644 1592 pp. 407-430

• Preconditioning a Coupled Model for Reactive Transport in Porous Media

  Laila Amir, Michel Kern

  2018-10-19

  35658 4341 pp. 18-48

• A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation

  P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah, M. B. Adams

  2023-03-30

  DOI:10.4208/ijnam2023-1018

  29346 2603 pp. 437-458

• Solution of Burgers' Equation Using the Marker Method

  Jerome L. V. Lewandowski

  2006-03-01

  30916 3793 pp. 80-93

• Partially Observable Stochastic Optimal Control

  Guangchen Wang, Jie Xiong, Shuaiqi Zhang

  2016-07-03

  32134 2753 pp. 493-512

• Numerical Solution of Nonstationary Problems for a Convection and a Space-Fractional Diffusion Equation

  P. Vabishchevich

  2016-03-10

  32592 2652 pp. 296-309

• QR Versus Cholesky: A Probabilistic Analysis

  M. Lira, R. Iyer, A. A. Trindade & V. Howle

  2018-08-15

  35937 4573 pp. 114-121